Abstract
We study in detail how four-dimensional local anomalies manifest themselves when the theory is compactified on a circle. By integrating out the Kaluza-Klein modes in a way that preserves the four-dimensional symmetries in the UV, we show that the three-dimensional theory contains field-dependent Chern-Simons terms that appear at one-loop. These vanish if and only if the four-dimensional anomaly is canceled, so the anomaly is not lost upon compactification. We extend this analysis to situations where anomalies are canceled through a Green-Schwarz mechanism. We then use these results to show automatic cancellation of local anomalies in F-theory compactifications that can be obtained as a limit of M-theory on a smooth Calabi-Yau fourfold with background flux.
Original language | English |
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Article number | 20 |
Journal | Journal of High Energy Physics |
Volume | 2018 |
Issue number | 4 |
DOIs | |
Publication status | Published - 1 Apr 2018 |
Funding
We are grateful to Iñaki Garćıa-Etxebarria, Andreas Kapfer, Zohar Komargodski, Miguel Montero and Irene Valenzuela for useful discussions and to Markus Dierigl and Kilian Mayer for carefully reading and commenting this document. This work was partly supported by a grant of the Max Planck Society.
Keywords
- Anomalies in Field and String Theories
- Effective Field Theories
- F-Theory
- Superstring Vacua